1305011088000 has 768 divisors, whose sum is σ = 4943444688000. Its totient is φ = 342044467200.

The previous prime is 1305011087977. The next prime is 1305011088047. The reversal of 1305011088000 is 8801105031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229389156 + ... + 229394844.

Almost surely, 2^{1305011088000} is an apocalyptic number.

1305011088000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305011088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471722344000).

1305011088000 is an abundant number, since it is smaller than the sum of its proper divisors (3638433600000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305011088000 is an frugal number, since it uses more digits than its factorization.

1305011088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 1305011088000 in words is "one trillion, three hundred five billion, eleven million, eighty-eight thousand".